Ottoman Empire ruled for about 1200 years (I think off the top of my head),
Good guess, but it was only 700 years. 13th century to 20th.
the West that gave us the scientific innovation that allowed its armies to create effective weapons,
During 'our' medieval era, the Eastern world developed and used the trebuchet, the siege cannon, rocket artillery, and other weapons systems that have long since disappeared from history. The Mongols devastated any society they came up against.
the West eventually conquered them all
The Turks were never conquered, even though the Ottoman Empire collapsed.
create ocean worthy vessels to explore and conquer continents,
Chinese Admiral Zheng He sailed on some mighty large ships. It was a political decision to turn the Chinese Empire inward, not military defeat.
I did not view the video because I don't have that much time on my hands, but I have heard of the commentator and his views.
It is hard to argue against the idea that the 'west' prospered because of a set of values that are unique from the rest of the world. A society or groups of societies that is based on the betterment of the average person, where a person can improve on their lot regardless of tribe, creed, color, or religion, where everyone is treated equally, is always going to be a better society where one can only get ahead based on which tribe you belong to. There is an incentive to try something, to innovate, because you can get personally rewarded for it, as opposed to innovation that won't reward you but rewards the ruling families.
Over the last 500 years, the west has been exceptionally dominant in every regard, but it's no different from history where different societies at different points in time were extremely dominant for a certain time, then were surpassed by others.
Where is Greece now, or Rome? Same place as Persia. Our turn will come where others will at some point overtake us.
My view is that 'civilization' is not a geographical concept, but an idea. Different societies will at different times embrace the concept of 'civilization', and they will prosper because of it.
There was a time when the Muslim world was 'civilized'. Relatively speaking. It was a long time ago. China is getting there.